5-card hand is dealt from a standard 52 deck card. If the 5-card hand contains atleast one four, you win 8$; otherwise, you lose2. what is the expected value of the game? The expected value of the game is ? dolla

Q: Suppose that a lottery has the following odds: 1) If you pay $3 to play this game, what is the…

A: 1) Considering the provided distribution, the expected value without losing any money is,

Q: There are 2 first grade children, 4 second grade children, and 7 third grade children in a room.…

A: Given : There are 2 first grade children, 4 second grade children, and 7 third grade children in a…

Q: A company selling substandard drugs to developing countries sold 2,000,000 capsules with 60,000 of…

A: Solution: 3. From the given information, out of 2,000,000 capsules 60,000 are empty. The sample size…

Q: A single card is dealt from a standard 52 card deck. Give the following probabilities: • Out of the…

A: Here, we have to find some probabilities ask in question by using the given information which is a…

Q: Assume you choose two cards at random from a regular 52-card deck with no replacements. What is the…

A:

Q: 4 -1 0

A:

Q: Suppose that you and a friend are playing cards and decide to make a bet. If your friend draws three…

A: Given information- We have given a standard deck of 52 cards. My friend draws three hearts in…

Q: 4) Suppose that 1 out of 50 cards in a scratch-and-win promotion gives a prize. a) What is the…

A: Given, Suppose that 1 out of 50 cards in a scratch-and-win promotion gives a prize. This follows…

Q: Suppose that a player draws a card at random from a pack of cards, and wins $15 if an ace, king,…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Suppose that a lottery has the following odds: Amount won Probability of winning 0 3/5 2 1/5 5 1/10…

A: b)Here, Amount won, x Probability, P(x) x.P(x) 0 35 0 2 15 25 5 110 12 10 350 35 50…

Q: spinner below has been with 8 equal regions. When the spinner is spun once, find the probability of…

A:

Q: game is played using a 52 card standard deck. The player pays $4.00 to play and gets to pick one…

A: A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen…

Q: Using a standard 52-card deck, find the following probabilities. Leave your answer as a reduced…

A: Total number of cards = 52 one suit contains 13 cards Number of suits = 4

Q: A game uses a. Single 6- sided die. To play the game, the die is tolled one time, with the following…

A: Solution

Q: Suppose that in a particular game two dice are tossed. If the two dice sum to seven, the player wins…

A:

Q: A game uses a single 6-sided die. To play the game, the die is rolled one time, with the following…

A:

Q: If car purchase and weather on test drive were independent events, what would be the expected number…

A: Given data is about purchasing behavior it is a records of weather of the day of the test drive has…

Q: Suppose that you and a friend are playing cards and decide to make a bet. If you draw two non-face…

A: Given information: The number of cards in a deck is 52. The set of 52 cards are divided into 4…

Q: Robert bought a $5 lottery ticket such that 1 in 100 would win $10, 1 in 1000 would win $100, and 1…

A: Given that, Robert bought a $5 lottery ticket such that 1 in 100 would win $10, 1 in 1000 would win…

Q: When you bet $5 on the number 7 in roulette at a typical casino, you have a 37/38 probability of…

A: We know that the expected value E(X) for a discrete variable X is given by  E(X)=∑ixiP(xi)  where X…

Q: Amanda has injured her leg and may not be able to play in the next basketball game. If she can play,…

A:

Q: When you roll two 6-sided dice, if the number 1 appears on both dice (each die has one dot on the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: mutually exclusive event

A: Given that  A researcher determines the probability of winning a new game is 0.32 P(Win) = 0.32…

Q: 2. In a playing card, a woman is paid P300 if she draws a jack or a queen and P500 if she draws a…

A:

Q: Determine the expected value of the following two games: (a) The Six Dollars Per Six game costs…

A: Probability Distribution: Let X be a random variable. Then the probability distribution of X is…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $5 on the number 32…

A: a)The formula for finding the expected value is shown below:

Q: Suppose that a lottery has the following odds: Amount Won Probability of Winning 0 3/5 2 1/5 5 1/10…

A:

Q: Two coins are flipped. you win $2 if either 2 heads or 2 tails turn up; you lose $3 if a dead and a…

A: A) Let, H=head and T=tail When a coin is flipped then outcomes are {HH, HT,  TH, TT}. total 4…

Q: The probability that the first control device is defective. The probability that the first three…

A:

Q: One option in a roulette game is to bet $14 on red.​ (There are 18 red​ compartments, 18 black​…

A: Given data, The total number of red compartments = 18 The total number of non red compartments  =…

Q: A game has 49 green balls and 1 red ball in a bag, and you will randomly select one ball from the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In tossing 3 fair​ coins, what is the expected number of​ heads?

A: Probability of head p =12 number of coins n= 3 The expected number heads in tossing 3 fair coins is…

Q: A programmer is creating a game with a villain who randomly appears and steals 50 gold coins from…

A: The image is attached below to find the expected value of a player.

Q: The following card game with a well shuffles deck of cards. If you draw a red card, you win nothing.…

A: In a well-shuffled deck of 52 cards, there are four suits, hearts, clubs, spades, and diamonds, each…

Q: In a gambling game a person draws two cards from an ordinary 52-card playing deck. A person is paid…

A: Given, No of cards n = 52 draws 2 cards $100 if both are aces $50 if one of them is ace otherwise…

Q: If you charge $3 to play a game of chance and the expected value is - $2, then what is the fair…

A: According to the given information, it is required to find the fair price of the game.

Q: One option in a roulette game is to bet $5 on red. ​ (There are 18 red​ compartments, 18 black​…

A: Total number of compartments is 18+18+2 =38. The probability that ball lands on red compartment is…

Q: In the New Jersey and Nevada gaming casinos, craps is a popular gambling game. One of the many bets…

A: As given one of the many bets available is the “Hard-way 8.” A $1 bet in this fashion will win the…

Q: Suppose that a lottery has the following odds: Amount Won Probability of Winning 3/5 1/5 5 1/10 10…

A: Given data and calculation for expected winning amount 1) Expected amount is given by

Q: What is the expected value of the following game? If a player rolls two dice and gets a sum of 2 or…

A:

Q: friend devises a game that is played by rolling a single six-sided die once. If you roll a 6, he…

A: Given friend devises a game that is played by rolling a single six-sided die once. If you roll a 6,…

Q: One option in a roulette game is to bet $17 on red. (There are 18 red compartments, 18 black…

A: There are total of (18+18+2) = 38 compartments. Number of red compartments = 18

Q: If you used a random number generator for the numbers from 1 through 20 to play a game, what is the…

A: Given data: The total numbers are n(S)=20. (a) The events which are either multiple of 3 or 7 are,…

Q: A game is played using a standard 52-card deck. The player pays $3.00 to play and gets to pick one…

A:

Q: Consider the following scenario. the five-number bet   (a) Find the expected value of each $1 bet…

A: Total number in roulette wheel = 38 including (0 and 00) The five-number bet is a "row bet", that…

Q: In Wyoming, there are about 300,000 registered voters, of whom 30,000 are Democrats. A survey…

A: We have given that Total number of registered voters = 300,000 Number of Democrats = 30,000

Q: For the age group 40-59, what is the probability of ending up in Intensive Therapy for each of the…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: 3. Use the method of your choice to determine the following probabilities about drawing cards from a…

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Q: What is the expected value if I buy 10 tickets (at $2 each) for a pick-8 game of Keno?  a. -$5.70…

A: It is not given that how many of total numbers are there in pick up game. Usually there are total of…

Q: You draw and keep a single bill from a hat that contains a $1,$10,$20, and $100 bill. What is the…

A: